Search a number
-
+
1004220321 = 31367384317
BaseRepresentation
bin111011110110110…
…010111110100001
32120222121200022020
4323312302332201
54024040022241
6243351532053
733612506016
oct7366627641
92528550266
101004220321
11475946655
1224038a029
13130087110
149752970d
155d266b66
hex3bdb2fa1

1004220321 has 16 divisors (see below), whose sum is σ = 1463482944. Its totient is φ = 608756544.

The previous prime is 1004220253. The next prime is 1004220331. The reversal of 1004220321 is 1230224001.

It is not a de Polignac number, because 1004220321 - 29 = 1004219809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004220321.

It is not an unprimeable number, because it can be changed into a prime (1004220331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189546 + ... + 194771.

It is an arithmetic number, because the mean of its divisors is an integer number (91467684).

Almost surely, 21004220321 is an apocalyptic number.

It is an amenable number.

1004220321 is a deficient number, since it is larger than the sum of its proper divisors (459262623).

1004220321 is a wasteful number, since it uses less digits than its factorization.

1004220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384400.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1004220321 is about 31689.4354793518. The cubic root of 1004220321 is about 1001.4047992815.

Adding to 1004220321 its reverse (1230224001), we get a palindrome (2234444322).

The spelling of 1004220321 in words is "one billion, four million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 13 39 67 201 871 2613 384317 1152951 4996121 14988363 25749239 77247717 334740107 1004220321